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Finding the Fourth Proportional to 16,974, 25,467.48 and 6,586.56

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Solution

The fourth proportional to 16,974, 25,467.48 and 6,586.56 is: 9,882.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,974 : 25,467.48 = 6,586.56 : x
  2. Step 2: Convert to fraction form
    16,974/25,467.48 = 6,586.56/x
  3. Step 3: Cross multiply
    16,974x = 25,467.48 × 6,586.56
  4. Step 4: Simplify right side
    16,974x = 167,743,085.07
  5. Step 5: Solve for x
    x = 167,743,085.07/16,974
  6. Step 6: Final answer
    x = 9,882.35

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.